# How do you solve graph 18x-x^2 ≤ 81?

Feb 18, 2016

This inequality is true for all Real values of $x$
(Shade the entire graph area as part of the solution).

#### Explanation:

$18 x - {x}^{2} < - 81$

$\rightarrow 0 \le \left({x}^{2} - 18 x + 81\right)$

$\rightarrow 0 \le {\left(x - 9\right)}^{2}$

Since all Real values when squared are $\ge 0$ this is true for all Real values.